哈尔滨工程大学学报2011，Vol.32Issue(5)：565-569,5.DOI:10.3969/j.issn.1006-7043.2011.05.005
基于拟单边Lipschitz条件的一类非线性系统降维观测器设计
Reduced-order observer design for a class of nonlinear systems based on a quasi-one-sided Lipschitz condition
摘要
Abstract
In order to study the problem of reduced-order observer design for a class of nonlinear systems, the quasione-sided and weak-quasi-one-sided Lipschitz conditions were introduced. Criteria for the existence of reduced-order observers of the class of nonlinear systems were presented the linear matrix inequality method. Based on the (weak-) quasi-one-sided Lipschitz condition, the contribution of the nonlinearity on asymptotic convergence of the observer error was explored. The proposed criteria were less conservative than those in previous literature. Furthermore, it was proven that the present criteria are available even if the system parameters are not detectable. Two numerical examples were given to illustrate effects of the proposed approach.关键词
非线性系统/降维观测器/拟单边Lipschitz条件/拟单边Lipschitz常数阵Key words
nonlinear system/ reduced-order observer/ quasi-one-sided Lipschitz condition/ quasi-one-sided Lipschitz constant matrix分类
信息技术与安全科学引用本文复制引用
徐明跃,胡广大..基于拟单边Lipschitz条件的一类非线性系统降维观测器设计[J].哈尔滨工程大学学报,2011,32(5):565-569,5.基金项目
黑龙江省自然科学基金项目(A201009) （A201009）
哈尔滨师范大学科技发展预研项目(10XYG-06). （10XYG-06）
